Bibliographic Details
| Title: |
HENSTOCK-KURZWEIL TYPE INTEGRAL BASED ON GENERALIZED g-SEMIRING. |
| Authors: |
Stajner-Papuga, Ivana |
| Superior Title: |
International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems; Dec2002 Supplement, Vol. 10, p89, 16p |
| Subject Terms: |
SEMIRINGS (Mathematics), OPERATOR theory |
| Abstract: |
We shall consider special class of generalized semiring based on generalized pseudooperations of the following form: x ... y = g[sup -1] (εg(x) + g(y)), x ... y = g[sup (-1)] (g(x)[sup γ] g (y)), where e and γ are arbitrary but fixed positive real numbers, g is a positive strictly monotone generating function and g[sup (-1)] is its pseudo-inverse. Using this pseudo-operations, corresponding pseudo-measure and the Henstock-Kurzweil type integral will be introduced and investigated. [ABSTRACT FROM AUTHOR] |
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| Database: |
Complementary Index |
